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Table of Contents:

Chapter 1: Introduction
1.1 Background of the Study
1.2 Statement of the Problem
1.3 Objectives of the Study
1.4 Limitations of the Study
1.5 Scope of the Study

Chapter 2: Literature Review
2.1 Overview of Number Theory
2.2 Algebraic Number Fields
2.3 Class Groups
2.4 Previous Studies on Algebraic Number Fields and Class Groups

Chapter 3: Research Methodology
3.1 Research Design
3.2 Data Collection
3.3 Data Analysis
3.4 Sampling Techniques

Chapter 4: Discussion of Findings
4.1 Analysis of Results
4.2 Comparison with Previous Studies
4.3 Implications of Findings
4.4 Recommendations for Future Research

Chapter 5: Conclusion and Summary
5.1 Summary of Findings
5.2 Conclusion
5.3 Contribution to the Field
5.4 Suggestions for Further Research

Brief Overview:

The thesis on “Number Theory: Algebraic Number Fields and Class Groups” focuses on exploring the properties and relationships of algebraic number fields and class groups in the context of number theory. The study aims to provide a comprehensive understanding of these concepts and their significance in mathematics.

Chapter 1 introduces the background of the study, statement of the problem, objectives, limitations, and scope of the study. Chapter 2 reviews existing literature on number theory, algebraic number fields, and class groups to establish a foundation for the research.

Chapter 3 outlines the research methodology, including the design, data collection, analysis, and sampling techniques. Chapter 4 presents the discussion of findings, analyzing the results, comparing them with previous studies, discussing implications, and providing recommendations for future research.

Finally, Chapter 5 offers a conclusion and summary of the findings, highlighting the contributions of the study to the field and suggesting areas for further research. This thesis aims to advance knowledge in number theory and contribute to the understanding of algebraic number fields and class groups.

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